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Hermite Polynomials
Return the _n_-th <http://en.wikipedia.org/wiki/Hermite_polynomials Hermite polynomial> of the physicists' type. Assume that ...

7 years ago

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Diophantine Equations (Inspired by Project Euler, problem 66)
Consider the quadratic Diophantine equation of the form: x^2 – Dy^2 = 1 When D=13, the minimal solution in x is 649^2 – 13...

7 years ago

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Ackermann's Function
Ackermann's Function is a recursive function that is not 'primitive recursive.' <http://en.wikipedia.org/wiki/Ackermann_fun...

7 years ago

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Calculate Euler's phi function
Compute the Euler's phi function of a large integer. For more information about this topic please visit: <https://en.wikiped...

7 years ago

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Rosenbrock's Banana Function and its derivatives
Write a function to return the value of <http://en.wikipedia.org/wiki/Rosenbrock_function Rosenbrock's two-dimensional banana fu...

7 years ago

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N-th permutation.
Let write some permutations of positive integers. 1: 1 2 3 4 5 6 ... 2: 2 1 3 4 ... 3: 1 3 2 4 ... ...

7 years ago

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Which permutation is it?
Let write some permutations of positive integers. 1: 1 2 3 4 5 6 ... 2: 2 1 3 4 ... 3: 1 3 2 4 ....

7 years ago

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Possible Outcomes of American Roulette
The payout for American roulette can be calculated by: payout = (38/n)-1 where n is the number of squares the bet covers. ...

7 years ago

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A (wrong) place for everything, and everything in its (wrong) place
You have an equal number of cups and balls, each labelled from one to N. You randomly place one ball in each cup. Determine th...

7 years ago

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Numbered lottery balls into cells
You are running a lottery, and have a number of different balls numbered 1 to N. Your job is to figure out how many different w...

7 years ago

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Get ranking of a combination looking for speed.
I have the numbers pulled without replacement from the set [1 2 3 4 5 6 7 8 9 10 11 12 13]; They are then ordered from least to...

7 years ago

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Next lexicographic - permutation
Find next lexicographic - permutation (permutations as it would occur in a dictionary order). E.g: nextP('ABCD') = ABDC I...

7 years ago

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Matrix Construction I
Given n, construct a matrix as shown in the example below. Example For n=8, the output should look like this: 1 2 3 4 ...

7 years ago

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Create a block diagonal matrix
A block diagonal matrix is a square matrix that can be written as A = [a 0 0 0 0 b 0 0 0 0 c 0 ...

7 years ago

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Toeplitz Matrix
For a given square matrix of order n-by-n check whether this is a Toeplitz matrix or not. Return true if it is.

7 years ago

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The Matrix Construction
Given two input ,first one is CN (Column Number), Second one is Dim Can you produce such a matrix for example CN=6; Dim=2 ...

7 years ago

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Diagonal of a Spiral Matrix
Write a function that will return same output as diag(spiral(n)). The only exception is that spiral and diag functions are not a...

7 years ago

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Integer sequence - 2 : Kolakoski sequence
Get the n-th term of <https://oeis.org/A000002 Kolakoski Sequence>.

7 years ago

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Golomb's self-describing sequence (based on Euler 341)
The Golomb's self-describing sequence {G(n)} is the only nondecreasing sequence of natural numbers such that n appears exactly G...

7 years ago

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"Look and say" sequence
What's the next number in this sequence? * [0] * [1 0] * [1 1 1 0] * [3 1 1 0] * [1 3 2 1 1 0] This a variant on the w...

7 years ago

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Sum the Infinite Series
Given that 0 < x and x < 2*pi where x is in radians, write a function [c,s] = infinite_series(x); that returns with the...

7 years ago

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Champernowne Constant
The <http://en.wikipedia.org/wiki/Champernowne_constant Champernowne constant> is a real number whose digits in decimal represen...

7 years ago

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P-smooth numbers
This Challenge is to find <https://en.wikipedia.org/wiki/Smooth_number P-smooth number> partial sets given P and a max series va...

7 years ago

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Happy 2013...
Happy 2013, everyone! An interesting tidbit about 2013 is that it is the first year since 1987 to contain four different digits...

7 years ago

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Numbers with prime factors 2, 3 and 5.
Make a function which takes one positive integer n and returns a matrix with the numbers of the form (2^i)*(3^j)*(5^k) which are...

7 years ago

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Determine if input is a Narcissistic number
<http://en.wikipedia.org/wiki/Narcissistic_number Narcissistic number> is a number that is the sum of its own digits each raised...

7 years ago

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Determine if input is a perfect number
A <http://en.wikipedia.org/wiki/Perfect_number/ perfect number> occurs whent the sum of all divisors of a positive integer, exce...

7 years ago

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Put m balls into n boxes
Can you find all the cases where, if I put 3 balls into 2 boxes the case is 1 1 1 1 1 2 1...

7 years ago

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Put m balls into n boxes (again)
According to <http://www.mathworks.com/matlabcentral/cody/problems/1516-put-m-balls-into-n-boxes Cody Problem 1516>, if I put 3 ...

7 years ago

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Return fibonacci sequence do not use loop and condition version 2
Calculate the nth Fibonacci number,return sequence Given n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ... ...

7 years ago